113011434900 has 360 divisors, whose sum is σ = 450881002880. Its totient is φ = 23844015360.

The previous prime is 113011434869. The next prime is 113011434919. The reversal of 113011434900 is 9434110311.

113011434900 is a `hidden beast` number, since 1 + 1 + 30 + 1 + 143 + 490 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 660441 + ... + 813759.

Almost surely, 2^113011434900 is an apocalyptic number.

113011434900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113011434900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225440501440).

113011434900 is an abundant number, since it is smaller than the sum of its proper divisors (337869567980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113011434900 is a wasteful number, since it uses less digits than its factorization.

113011434900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153365 (or 153349 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 113011434900 in words is "one hundred thirteen billion, eleven million, four hundred thirty-four thousand, nine hundred".